This paper presents a new approach to computation of geometric continuity for parametric bi-cubic patches, based on a simple mathematical reformulation which leads to simple additional conditions to be applied in the patching computation. The paper presents an Hermite formulation of a bicubic parametric patch, but reformulations can be made also for B\'ezier and B-Spline patches as well. The presented approach is convenient for the cases when valencies of corners are different from the value 4, in general.

翻译：本文件介绍了一种新的方法,用于计算对称双立方补丁的几何连续性,其依据是简单的数学重新拟订,从而导致在补丁计算中适用简单的附加条件。本文介绍了双立方补丁的Hermite配方,但也可以对B\'ezier和B-Spline补丁进行重新拟订。在角的变换与一般的数值4不同的情况下,所提出的办法很方便。